Combinations: Permutations without regard for order

- Sometimes the order of things matters.…Other times it doesn't.…For example, if we have a group…of five long jumpers at a competition,…and each competitor gets only a single jump,…there might be an advantage to going last.…Why?…Because this jumper, the one going last,…he would know which was the distance to beat.…If we were trying to figure out the probability…James would go first and Andre would go last,…we'd need to know how many permutations…of these five jumpers was possible.…

Here are a few of the 120 possible permutations.…The order of the jumpers is vital here.…On the other hand,…let's consider a different scenario.…Suppose we have 10 students in a class,…and one team of four students…was going to be chosen at random…to represent the school at a prestigious competition.…If we were trying to figure out…the probability that both Olivia and Layla…would be chosen for the team,…we'd need to know how many combinations…of four students would be possible.…

So how are combinations different than permutations?…Well, let's say the four students chosen for this team…

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8/24/2016

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